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Finding the Third Proportional to 68,688 and 144,858

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Solution

The third proportional to 68,688 and 144,858 is: 305,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,688 : 144,858 = 144,858 : x
  2. Step 2: Convert to fraction form
    68,688/144,858 = 144,858/x
  3. Step 3: Cross multiply
    68,688x = 144,858 × 144,858
  4. Step 4: Simplify right side
    68,688x = 20,983,840,164
  5. Step 5: Solve for x
    x = 20,983,840,164/68,688
  6. Step 6: Final answer
    x = 305,494.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.